Question

a • Weight of the forearm (assuming an even mass distribution over the forearm) (W) b. Consider the three vectors shown below: ż, b, č. • Write an expression for the angle o in terms of the angle 0. Define a unit vector parallel to ả (call it ūa) with respect to the (x, y) coordinate system, in terms of the angle o. Define a unit vector parallel to b (call it ūp) with respect to the (x,y) coordinate system. Write a vector equation for č in terms of à and b. Define a new unit vector ūc parallel to č te

Answer 1

Assume i and are unit vectors along x and y axis respectively 0 + 0 = 90° + 0 = 90° – 0 a = cos($isin() b is along y axis, hence ūv = 1 From vector diagram b=a+ → Č=b-ā = būt – aña +7 = bj – a (cos(ø)ī+sin(0);) =-acos(0)7 +(6 – asin(o)); Magnitude of vector c c= V acoso + (b – asin(0) 2 = Vacos-o + b2 + a-sin-() - 2absin(0) c= V a² +62 – 2absin(0) unit vector parallel ot c с -acos(o)i + (b - asin(0)); →ūc = = Vad +62 – 2absin(0)